Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications

In this article, strong convergence of Krasnoselski-Mann iterative sequences and Halpern iterative sequences are investigated based on hybrid projection methods. Strong convergence theorems for common fixed points of a family of generalized asymptotically quasi- ϕ -nonexpansive mappings are establis...

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Bibliographic Details
Published inFixed point theory and applications (Hindawi Publishing Corporation) Vol. 2012; no. 1; pp. 1 - 20
Main Authors Qin, Xiaolong, Agarwal, Ravi P, Cho, Sun Young, Kang, Shin Min
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 13.04.2012
Subjects
Analysis
Applications of Mathematics
Asymptotic properties
Classification
Convergence
Differential Geometry
Fixed points (mathematics)
Iterative methods
Mapping
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Projection
Sequences
Topology
asymptotically quasi
nonexpansive mapping
asymptotically nonexpansive mapping
fixed point
generalized asymptotically quasi-nonexpansive mapping
generalized asymptotically quasi
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ISSN1687-1812
1687-1820
1687-1812
DOI10.1186/1687-1812-2012-58

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Summary:In this article, strong convergence of Krasnoselski-Mann iterative sequences and Halpern iterative sequences are investigated based on hybrid projection methods. Strong convergence theorems for common fixed points of a family of generalized asymptotically quasi- ϕ -nonexpansive mappings are established in the framework of Banach spaces. Mathematics Subject Classification 2000 : 47H09; 47J05; 47J25
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ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1186/1687-1812-2012-58